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Finding the Third Proportional to 23,959.13 and 50,991.75

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Solution

The third proportional to 23,959.13 and 50,991.75 is: 108,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,959.13 : 50,991.75 = 50,991.75 : x
  2. Step 2: Convert to fraction form
    23,959.13/50,991.75 = 50,991.75/x
  3. Step 3: Cross multiply
    23,959.13x = 50,991.75 × 50,991.75
  4. Step 4: Simplify right side
    23,959.13x = 2,600,158,568.06
  5. Step 5: Solve for x
    x = 2,600,158,568.06/23,959.13
  6. Step 6: Final answer
    x = 108,524.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.